In a survey of teenagers, ⅔ responded that they got regular exercise, and ⅘ of those said that walking was their main form of exercise. What fraction of the teenagers mainly exercise by walking?
To find the fraction of teenagers who mainly exercise by walking, we need to multiply the fractions representing the proportions of teenagers who exercise regularly and of those who primarily walk.
The fraction representing the proportion of teenagers who exercise regularly is 2/3.
The fraction representing the proportion of those who mainly walk is 4/5.
Multiplying these fractions gives: (2/3) * (4/5) = 8/15.
So, 8/15 of the teenagers mainly exercise by walking.
To determine the fraction of teenagers who mainly exercise by walking, we will multiply the fractions of those who got regular exercise and those who said walking was their main form of exercise.
First, let's calculate the fraction of teenagers who got regular exercise. Since 2/3 of the respondents said they got regular exercise, the fraction can be expressed as 2/3.
Next, let's calculate the fraction of those who got regular exercise and said walking was their main form of exercise. Since 4/5 of those who got regular exercise said walking was their main form of exercise, the fraction can be expressed as 4/5.
To find the fraction that satisfies both conditions, we multiply the fractions:
(2/3) * (4/5) = 8/15
Therefore, 8/15 of the teenagers mainly exercise by walking.
To find the fraction of teenagers who mainly exercise by walking, we need to find the product of the fractions representing the number of teenagers who responded to each statement.
Let's break down the problem step by step:
Step 1: Determine the fraction of teenagers who got regular exercise. According to the survey, 2/3 of the teenagers responded that they got regular exercise.
Step 2: Determine the fraction of teenagers who said walking was their main form of exercise. According to the survey, 4/5 of those who got regular exercise said that walking was their main form of exercise.
Step 3: Find the product of these two fractions to calculate the fraction of teenagers who mainly exercise by walking.
2/3 × 4/5 = (2 × 4) / (3 × 5) = 8/15
Therefore, the fraction of teenagers who mainly exercise by walking is 8/15.